9x^2-127x-370=0

Solution for 9x^2-127x-370=0 equation:

9x^2-127x-370=0

a = 9; b = -127; c = -370;
Δ = b2-4ac
Δ = -1272-4·9·(-370)
Δ = 29449
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{29449}=\sqrt{49*601}=\sqrt{49}*\sqrt{601}=7\sqrt{601}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-127)-7\sqrt{601}}{2*9}=\frac{127-7\sqrt{601}}{18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-127)+7\sqrt{601}}{2*9}=\frac{127+7\sqrt{601}}{18}
$